## On the number of Criteria Needed to Decide Pareto Optimality

• In this paper we prove a reduction result for the number of criteria in convex multiobjective optimization. This result states that to decide wheter a point x in the decision space is pareto optimal it suffices to consider at most n? criteria at a time, where n is the dimension of the decision space. The main theorem is based on a geometric characterization of pareto, strict pareto and weak pareto solutions

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Author: Matthias Ehrgott, Stefan Nickel urn:nbn:de:hbz:386-kluedo-4617 Report in Wirtschaftsmathematik (WIMA Report) (2) Preprint English 1999 1999 Technische Universität Kaiserslautern Fachbereich Mathematik 510 Mathematik

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